Finding the Third Proportional to 4,019.75 and 5,872.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,019.75 : 5,872.25 = 5,872.25 : x
2. Step 2: Convert to fraction form
   4,019.75/5,872.25 = 5,872.25/x
3. Step 3: Cross multiply
   4,019.75x = 5,872.25 × 5,872.25
4. Step 4: Simplify right side
   4,019.75x = 34,483,320.06
5. Step 5: Solve for x
   x = 34,483,320.06/4,019.75
6. Step 6: Final answer
   x = 8,578.47